How to Compress Asymmetric Communication
summary
Provides two concrete compression schemes and one explicit bound that helps when information is lopsided: converts any protocol into a bounded‑round “guess K bits” protocol using public randomness guessing, then applies Braverman–Rao to get communication about I_A + C^{3/4} I_B^{1/4} by setting K = C^{1/4} I_B^{-1/4} so rounds ≈ C^{3/4} I_B^{1/4}. Analysis uses Pinsker, Cauchy‑Schwarz and chain rule to bound expected mistakes and information; a small‑ε example shows the key lemma is tight.
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chapters (5)
- 0:00Start
- 5:31Asymmetric Communication
- 16:20Analysis
- 17:28Information Content
- 18:14Information learnt by Bob
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